On Formulas and Some Combinatorial Properties of Schubert Polynomials

On Formulas and Some Combinatorial Properties of Schubert Polynomials
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关于舒伯特多项式的公式和一些组合性质

DOI:
10.1142/s1005386717000438
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发表时间:
2017-05
期刊:
影响因子:
0.3
通讯作者:
Chen Yuqun
Chen Yuqun
中科院分区:
数学4区
文献类型:
--
作者:
Zhang Zerui;Chen Yuqun

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By applying a Grobner-Shirshov basis of the symmetric group Sn, we give two formulas for Schubert polynomials, either of which involves only nonnegative monomials. We also prove some combinatorial properties of Schubert polynomials. As applications, we give two algorithms to calculate the structure constants for Schubert polynomials, one of which depends on Monk’s formula.
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